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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=C2×C10

Direct product G=N×Q with N=C2×C12 and Q=C2×C10
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C2×C12 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1(C2×C10) = C5×D6⋊D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12120(C2xC12):1(C2xC10)480,761
(C2×C12)⋊2(C2×C10) = S3×D4×C10φ: C2×C10/C5 → C22 ⊆ Aut C2×C12120(C2xC12):2(C2xC10)480,1154
(C2×C12)⋊3(C2×C10) = C5×D4⋊6D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12):3(C2xC10)480,1156
(C2×C12)⋊4(C2×C10) = C5×S3×C4○D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12):4(C2xC10)480,1160
(C2×C12)⋊5(C2×C10) = C5×D4○D12φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12):5(C2xC10)480,1161
(C2×C12)⋊6(C2×C10) = C5×S3×C22⋊C4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12120(C2xC12):6(C2xC10)480,759
(C2×C12)⋊7(C2×C10) = C5×C23⋊2D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12120(C2xC12):7(C2xC10)480,816
(C2×C12)⋊8(C2×C10) = C15×C22≀C2φ: C2×C10/C5 → C22 ⊆ Aut C2×C12120(C2xC12):8(C2xC10)480,925
(C2×C12)⋊9(C2×C10) = C15×2+ 1+4φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12):9(C2xC10)480,1184
(C2×C12)⋊10(C2×C10) = C10×D6⋊C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):10(C2xC10)480,806
(C2×C12)⋊11(C2×C10) = C22⋊C4×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):11(C2xC10)480,920
(C2×C12)⋊12(C2×C10) = C2×C10×D12φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):12(C2xC10)480,1152
(C2×C12)⋊13(C2×C10) = C10×C4○D12φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):13(C2xC10)480,1153
(C2×C12)⋊14(C2×C10) = S3×C22×C20φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):14(C2xC10)480,1151
(C2×C12)⋊15(C2×C10) = D4×C2×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):15(C2xC10)480,1181
(C2×C12)⋊16(C2×C10) = C4○D4×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12):16(C2xC10)480,1183

Non-split extensions G=N.Q with N=C2×C12 and Q=C2×C10
extensionφ:Q→Aut NdρLabelID
(C2×C12).1(C2×C10) = C5×Dic3.D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).1(C2xC10)480,757
(C2×C12).2(C2×C10) = C5×C23.9D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).2(C2xC10)480,762
(C2×C12).3(C2×C10) = C5×C23.11D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).3(C2xC10)480,764
(C2×C12).4(C2×C10) = C5×C23.21D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).4(C2xC10)480,765
(C2×C12).5(C2×C10) = C5×C12⋊Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).5(C2xC10)480,767
(C2×C12).6(C2×C10) = C5×D6.D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).6(C2xC10)480,773
(C2×C12).7(C2×C10) = C5×C6.Q16φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).7(C2xC10)480,126
(C2×C12).8(C2×C10) = C5×C12.Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).8(C2xC10)480,127
(C2×C12).9(C2×C10) = C5×C6.D8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).9(C2xC10)480,128
(C2×C12).10(C2×C10) = C5×C6.SD16φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).10(C2xC10)480,129
(C2×C12).11(C2×C10) = C5×C12.53D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).11(C2xC10)480,141
(C2×C12).12(C2×C10) = C5×C12.46D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).12(C2xC10)480,142
(C2×C12).13(C2×C10) = C5×C12.47D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).13(C2xC10)480,143
(C2×C12).14(C2×C10) = C5×D12⋊C4φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).14(C2xC10)480,144
(C2×C12).15(C2×C10) = C5×D4⋊Dic3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).15(C2xC10)480,151
(C2×C12).16(C2×C10) = C5×C12.D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).16(C2xC10)480,152
(C2×C12).17(C2×C10) = C5×Q8⋊2Dic3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).17(C2xC10)480,154
(C2×C12).18(C2×C10) = C5×C12.10D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).18(C2xC10)480,155
(C2×C12).19(C2×C10) = C5×Q8⋊3Dic3φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).19(C2xC10)480,156
(C2×C12).20(C2×C10) = C5×C4.Dic6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).20(C2xC10)480,769
(C2×C12).21(C2×C10) = C5×S3×C4⋊C4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).21(C2xC10)480,770
(C2×C12).22(C2×C10) = C5×C4⋊C4⋊7S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).22(C2xC10)480,771
(C2×C12).23(C2×C10) = C5×Dic3⋊5D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).23(C2xC10)480,772
(C2×C12).24(C2×C10) = C5×C12⋊D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).24(C2xC10)480,774
(C2×C12).25(C2×C10) = C5×C4.D12φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).25(C2xC10)480,776
(C2×C12).26(C2×C10) = C5×S3×M4(2)φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).26(C2xC10)480,785
(C2×C12).27(C2×C10) = C5×D12.C4φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).27(C2xC10)480,786
(C2×C12).28(C2×C10) = C5×C8⋊D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).28(C2xC10)480,787
(C2×C12).29(C2×C10) = C5×C8.D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).29(C2xC10)480,788
(C2×C12).30(C2×C10) = C10×D4⋊S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).30(C2xC10)480,810
(C2×C12).31(C2×C10) = C5×D12⋊6C22φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).31(C2xC10)480,811
(C2×C12).32(C2×C10) = C10×D4.S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).32(C2xC10)480,812
(C2×C12).33(C2×C10) = C5×D4×Dic3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).33(C2xC10)480,813
(C2×C12).34(C2×C10) = C5×C23.12D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).34(C2xC10)480,815
(C2×C12).35(C2×C10) = C5×D6⋊3D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).35(C2xC10)480,817
(C2×C12).36(C2×C10) = C5×C12⋊3D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).36(C2xC10)480,819
(C2×C12).37(C2×C10) = C10×Q8⋊2S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).37(C2xC10)480,820
(C2×C12).38(C2×C10) = C5×Q8.11D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).38(C2xC10)480,821
(C2×C12).39(C2×C10) = C10×C3⋊Q16φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).39(C2xC10)480,822
(C2×C12).40(C2×C10) = C5×Q8×Dic3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).40(C2xC10)480,824
(C2×C12).41(C2×C10) = C5×D6⋊3Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).41(C2xC10)480,825
(C2×C12).42(C2×C10) = C5×C12.23D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).42(C2xC10)480,826
(C2×C12).43(C2×C10) = C5×D4.Dic3φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).43(C2xC10)480,827
(C2×C12).44(C2×C10) = C5×D4⋊D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).44(C2xC10)480,828
(C2×C12).45(C2×C10) = C5×Q8.13D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).45(C2xC10)480,829
(C2×C12).46(C2×C10) = C5×Q8.14D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).46(C2xC10)480,830
(C2×C12).47(C2×C10) = C10×D4⋊2S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).47(C2xC10)480,1155
(C2×C12).48(C2×C10) = S3×Q8×C10φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).48(C2xC10)480,1157
(C2×C12).49(C2×C10) = C10×Q8⋊3S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).49(C2xC10)480,1158
(C2×C12).50(C2×C10) = C5×Q8.15D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).50(C2xC10)480,1159
(C2×C12).51(C2×C10) = C5×Q8○D12φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).51(C2xC10)480,1162
(C2×C12).52(C2×C10) = C5×C23.16D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).52(C2xC10)480,756
(C2×C12).53(C2×C10) = C5×C23.8D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).53(C2xC10)480,758
(C2×C12).54(C2×C10) = C5×Dic3⋊4D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).54(C2xC10)480,760
(C2×C12).55(C2×C10) = C5×Dic3⋊D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).55(C2xC10)480,763
(C2×C12).56(C2×C10) = C5×Dic6⋊C4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).56(C2xC10)480,766
(C2×C12).57(C2×C10) = C5×D6⋊Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).57(C2xC10)480,775
(C2×C12).58(C2×C10) = C5×C4⋊C4⋊S3φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).58(C2xC10)480,777
(C2×C12).59(C2×C10) = C15×C4.D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).59(C2xC10)480,203
(C2×C12).60(C2×C10) = C15×C4.10D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).60(C2xC10)480,204
(C2×C12).61(C2×C10) = C5×Dic3.Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).61(C2xC10)480,768
(C2×C12).62(C2×C10) = C5×C23.23D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).62(C2xC10)480,814
(C2×C12).63(C2×C10) = C5×C23.14D6φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).63(C2xC10)480,818
(C2×C12).64(C2×C10) = C5×Dic3⋊Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).64(C2xC10)480,823
(C2×C12).65(C2×C10) = C15×C4⋊D4φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).65(C2xC10)480,926
(C2×C12).66(C2×C10) = C15×C22⋊Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12240(C2xC12).66(C2xC10)480,927
(C2×C12).67(C2×C10) = C15×C4⋊Q8φ: C2×C10/C5 → C22 ⊆ Aut C2×C12480(C2xC12).67(C2xC10)480,933
(C2×C12).68(C2×C10) = C15×C8⋊C22φ: C2×C10/C5 → C22 ⊆ Aut C2×C121204(C2xC12).68(C2xC10)480,941
(C2×C12).69(C2×C10) = C15×C8.C22φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).69(C2xC10)480,942
(C2×C12).70(C2×C10) = C15×2- 1+4φ: C2×C10/C5 → C22 ⊆ Aut C2×C122404(C2xC12).70(C2xC10)480,1185
(C2×C12).71(C2×C10) = C20×Dic6φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).71(C2xC10)480,747
(C2×C12).72(C2×C10) = C20×D12φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).72(C2xC10)480,752
(C2×C12).73(C2×C10) = C5×C42⋊3S3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).73(C2xC10)480,755
(C2×C12).74(C2×C10) = C10×Dic3⋊C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).74(C2xC10)480,802
(C2×C12).75(C2×C10) = C20×C3⋊D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).75(C2xC10)480,807
(C2×C12).76(C2×C10) = C5×C23.28D6φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).76(C2xC10)480,808
(C2×C12).77(C2×C10) = C4⋊C4×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).77(C2xC10)480,921
(C2×C12).78(C2×C10) = C15×C42⋊C2φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).78(C2xC10)480,922
(C2×C12).79(C2×C10) = D4×C60φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).79(C2xC10)480,923
(C2×C12).80(C2×C10) = Q8×C60φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).80(C2xC10)480,924
(C2×C12).81(C2×C10) = C15×C22.D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).81(C2xC10)480,928
(C2×C12).82(C2×C10) = C15×C4.4D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).82(C2xC10)480,929
(C2×C12).83(C2×C10) = C15×C42.C2φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).83(C2xC10)480,930
(C2×C12).84(C2×C10) = C15×C42⋊2C2φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).84(C2xC10)480,931
(C2×C12).85(C2×C10) = C5×C2.Dic12φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).85(C2xC10)480,135
(C2×C12).86(C2×C10) = C5×C8⋊Dic3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).86(C2xC10)480,136
(C2×C12).87(C2×C10) = C5×C24⋊1C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).87(C2xC10)480,137
(C2×C12).88(C2×C10) = C5×C2.D24φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).88(C2xC10)480,140
(C2×C12).89(C2×C10) = C5×C12⋊2Q8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).89(C2xC10)480,748
(C2×C12).90(C2×C10) = C5×C12.6Q8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).90(C2xC10)480,749
(C2×C12).91(C2×C10) = C5×C4⋊D12φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).91(C2xC10)480,753
(C2×C12).92(C2×C10) = C5×C42⋊7S3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).92(C2xC10)480,754
(C2×C12).93(C2×C10) = C10×C24⋊C2φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).93(C2xC10)480,781
(C2×C12).94(C2×C10) = C10×D24φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).94(C2xC10)480,782
(C2×C12).95(C2×C10) = C10×Dic12φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).95(C2xC10)480,784
(C2×C12).96(C2×C10) = C5×C12.48D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).96(C2xC10)480,803
(C2×C12).97(C2×C10) = C10×C4⋊Dic3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).97(C2xC10)480,804
(C2×C12).98(C2×C10) = C5×C23.26D6φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).98(C2xC10)480,805
(C2×C12).99(C2×C10) = C5×C12⋊7D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).99(C2xC10)480,809
(C2×C12).100(C2×C10) = C2×C10×Dic6φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).100(C2xC10)480,1150
(C2×C12).101(C2×C10) = C5×C42⋊4S3φ: C2×C10/C10 → C2 ⊆ Aut C2×C121202(C2xC12).101(C2xC10)480,124
(C2×C12).102(C2×C10) = C5×C24.C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C122402(C2xC12).102(C2xC10)480,138
(C2×C12).103(C2×C10) = C5×C8○D12φ: C2×C10/C10 → C2 ⊆ Aut C2×C122402(C2xC12).103(C2xC10)480,780
(C2×C12).104(C2×C10) = C5×C4○D24φ: C2×C10/C10 → C2 ⊆ Aut C2×C122402(C2xC12).104(C2xC10)480,783
(C2×C12).105(C2×C10) = C10×C4.Dic3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).105(C2xC10)480,800
(C2×C12).106(C2×C10) = C20×C3⋊C8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).106(C2xC10)480,121
(C2×C12).107(C2×C10) = C5×C42.S3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).107(C2xC10)480,122
(C2×C12).108(C2×C10) = C5×C12⋊C8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).108(C2xC10)480,123
(C2×C12).109(C2×C10) = Dic3×C40φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).109(C2xC10)480,132
(C2×C12).110(C2×C10) = C5×Dic3⋊C8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).110(C2xC10)480,133
(C2×C12).111(C2×C10) = C5×C24⋊C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).111(C2xC10)480,134
(C2×C12).112(C2×C10) = C5×D6⋊C8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).112(C2xC10)480,139
(C2×C12).113(C2×C10) = C5×C12.55D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).113(C2xC10)480,149
(C2×C12).114(C2×C10) = S3×C4×C20φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).114(C2xC10)480,750
(C2×C12).115(C2×C10) = C5×C42⋊2S3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).115(C2xC10)480,751
(C2×C12).116(C2×C10) = S3×C2×C40φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).116(C2xC10)480,778
(C2×C12).117(C2×C10) = C10×C8⋊S3φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).117(C2xC10)480,779
(C2×C12).118(C2×C10) = C2×C10×C3⋊C8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).118(C2xC10)480,799
(C2×C12).119(C2×C10) = Dic3×C2×C20φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).119(C2xC10)480,801
(C2×C12).120(C2×C10) = C15×D4⋊C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).120(C2xC10)480,205
(C2×C12).121(C2×C10) = C15×Q8⋊C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).121(C2xC10)480,206
(C2×C12).122(C2×C10) = C15×C4≀C2φ: C2×C10/C10 → C2 ⊆ Aut C2×C121202(C2xC12).122(C2xC10)480,207
(C2×C12).123(C2×C10) = C15×C4.Q8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).123(C2xC10)480,209
(C2×C12).124(C2×C10) = C15×C2.D8φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).124(C2xC10)480,210
(C2×C12).125(C2×C10) = C15×C8.C4φ: C2×C10/C10 → C2 ⊆ Aut C2×C122402(C2xC12).125(C2xC10)480,211
(C2×C12).126(C2×C10) = C15×C4⋊1D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).126(C2xC10)480,932
(C2×C12).127(C2×C10) = M4(2)×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).127(C2xC10)480,935
(C2×C12).128(C2×C10) = C15×C8○D4φ: C2×C10/C10 → C2 ⊆ Aut C2×C122402(C2xC12).128(C2xC10)480,936
(C2×C12).129(C2×C10) = D8×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).129(C2xC10)480,937
(C2×C12).130(C2×C10) = SD16×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12240(C2xC12).130(C2xC10)480,938
(C2×C12).131(C2×C10) = Q16×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).131(C2xC10)480,939
(C2×C12).132(C2×C10) = C15×C4○D8φ: C2×C10/C10 → C2 ⊆ Aut C2×C122402(C2xC12).132(C2xC10)480,940
(C2×C12).133(C2×C10) = Q8×C2×C30φ: C2×C10/C10 → C2 ⊆ Aut C2×C12480(C2xC12).133(C2xC10)480,1182
(C2×C12).134(C2×C10) = C15×C8⋊C4central extension (φ=1)480(C2xC12).134(C2xC10)480,200
(C2×C12).135(C2×C10) = C15×C22⋊C8central extension (φ=1)240(C2xC12).135(C2xC10)480,201
(C2×C12).136(C2×C10) = C15×C4⋊C8central extension (φ=1)480(C2xC12).136(C2xC10)480,208

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